204218990451441 has 81 divisors (see below), whose sum is σ = 358723543994361. Its totient is φ = 111619029536784.

The previous prime is 204218990451419. The next prime is 204218990451467. The reversal of 204218990451441 is 144154099812402.

It is a happy number.

The square root of 204218990451441 is 14290521.

It is a perfect power (a square), and thus also a powerful number.

204218990451441 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 1 + 89 + 9 + 0 + 4 + 514 + 41 = 666.

It is not a de Polignac number, because 204218990451441 - 2⁷ = 204218990451313 is a prime.

It is a super-2 number, since 2×204218990451441² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204218990451241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6902306850 + ... + 6902336436.

Almost surely, 2^{204218990451441} is an apocalyptic number.

204218990451441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204218990451441 is the 14290521-st square number.

204218990451441 is the 7145261-st centered octagonal number.

It is an amenable number.

204218990451441 is a deficient number, since it is larger than the sum of its proper divisors (154504553542920).

204218990451441 is an frugal number, since it uses more digits than its factorization.

204218990451441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59240 (or 29620 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 204218990451441 in words is "two hundred four trillion, two hundred eighteen billion, nine hundred ninety million, four hundred fifty-one thousand, four hundred forty-one".